Maximal solutions for $-Δu+u^q=0$ in open or finely open sets

dc.creatorMarcus, Moshe
dc.creatorVeron, Laurent
dc.date2008-10-09
dc.date2008-12-19
dc.date.accessioned2026-07-07T12:20:09Z
dc.date.available2026-07-07T12:20:09Z
dc.descriptionWe study the existence and uniqueness of new classes of solutions of the superlinear equation $-Δu+u^q=0$ (q>1) in a domain of R^N or in a finely open set for the topology associated to the Bessel capacity C_{2,q'}. Condition of existence or uniqueness of solutions with boundary blow-up are obtained generalizing the results of Dhersin-Le Gall and of Labutin.
dc.descriptionA paraître au Journal de Mathématiques Pures et Appliquées
dc.identifierhttps://arxiv.org/abs/0810.1667
dc.identifierhttp://arxiv.org/abs/0810.1667
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/212990
dc.subjectAnalysis of PDEs
dc.subject35J60;35J65;31B15;31C25
dc.titleMaximal solutions for $-Δu+u^q=0$ in open or finely open sets
dc.typetext

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